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Columbian College of Arts and Sciences

Mathematics (MATH)

MATH

6101

Algebra I

Algebra I

Fall 2015

3

Course Type

Lecture

Default Grading Method

Letter Grade

No

No

Corequisites

30

Frequency of Offering

Term(s) Offered

Are there Course Equivalents?

No

No

Fee Type

No

Group theory including symmetric groups, free abelian groups, finitely generated abelian groups, group actions, Sylow theorems, solvable groups. Ring theory including factorization in commutative rings, rings of polynomials, chain conditions.

After completing this course, students will be able to:

• Recall all basic definitions and theorems of group theory and ring theory.

• Reproduce proofs of all basic theorems in group theory and ring theory.

• Apply the basic definitions and theorems in group theory and ring theory in calculating a variety of

concrete and abstract examples.

• Apply the basic definitions and theorems in group theory and ring theory, as well as adapting previously

learned proofs and devising original proof ideas, to prove a variety of previously unfamiliar statements.

• Recall all basic definitions and theorems of group theory and ring theory.

• Reproduce proofs of all basic theorems in group theory and ring theory.

• Apply the basic definitions and theorems in group theory and ring theory in calculating a variety of

concrete and abstract examples.

• Apply the basic definitions and theorems in group theory and ring theory, as well as adapting previously

learned proofs and devising original proof ideas, to prove a variety of previously unfamiliar statements.

Uploaded a Course Syllabus

Course Attribute

Key: 5624